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professor190 [17]
4 years ago
12

A plane is flying at an elevation of 32000 feet. It is within sight of the airport and the pilot finds that the angle of depress

ion to the airport is 22∘. Find the distance between the plane and the airport. Find the distance between a point on the ground directly below the plane and the airport.

Physics
1 answer:
prohojiy [21]4 years ago
6 0

Answer:x=79,202.77 ft

Explanation:

Given

plane is at a height of 32000 ft

angle of depression is 22^{\circ}

let x the distance between the point directly below the plane and airport be x

from diagram

\tan (22)=\frac{height}{x}

\tan (22)=\frac{32000}{x}

x=79,202.77 ft

distance between plane and airport

\sin (22)=\frac{32000}{h}

h=\frac{32000}{\sin (22)}

h=85,422.94 ft

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